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Finding the Fourth Proportional to 1,871.82, 2,582.69 and 1,173.33

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Solution

The fourth proportional to 1,871.82, 2,582.69 and 1,173.33 is: 1,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.82 : 2,582.69 = 1,173.33 : x
  2. Step 2: Convert to fraction form
    1,871.82/2,582.69 = 1,173.33/x
  3. Step 3: Cross multiply
    1,871.82x = 2,582.69 × 1,173.33
  4. Step 4: Simplify right side
    1,871.82x = 3,030,341.79
  5. Step 5: Solve for x
    x = 3,030,341.79/1,871.82
  6. Step 6: Final answer
    x = 1,618.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.